Document Type
Article
Publication Date
11-15-2009
Publication Title
Journal of Algebra
DOI
10.1016/j.jalgebra.2009.08.006
ISSN
0021-8693
Abstract
A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.
Recommended Citation
Iacob, Alina, Srikanth B. Iyengar.
2009.
"Homological Dimensions and Regular Rings."
Journal of Algebra, 322 (10): 3451-3458.
doi: 10.1016/j.jalgebra.2009.08.006
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/55
Comments
This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the author must have permission to distribute the work or the work must be available under the Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration. The publisher's final edited version of this article is available at Journal of Algebra.